# What type of factoring is most appropriate to use?

## What type of factoring is most appropriate to use?

Factoring out the Greatest Common Factor (GCF) is perhaps the most used type of factoring because it occurs as part of the process of factoring other types of products. Before you can factor trinomials, for example, you should check for any GCF. Factor out the GCF by dividing it into each term.

## What method of factoring should be used first?

The first method for factoring polynomials will be factoring out the greatest common factor. When factoring in general this will also be the first thing that we should try as it will often simplify the problem. Let’s take a look at some examples.

How do you factor 9x 2 25?

Rewrite 9×2 9 x 2 as (3x)2 ( 3 x ) 2 . Rewrite 25 as 52 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=3x a = 3 x and b=5 .

four methods

### What are the 3 methods of solving quadratic equations?

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

How do you do factoring in math?

Multiply the number and variable together to get 2x. Then divide each part of the expression by 2x. The expression with the GCF factored out is 2x (x^2 + 9x + 5). Note that you must put the factored expression in parentheses and write the GCF next to it.

#### What are the factors of 5ab?

• The factors of 5ab are simply..
• 5, “a”, and “b”
• In an expression: 5 x a x b.
• In algebra, Factors are the numbers that can be multiplied so that it forms into an expression.
• To make an expression of 5ab, you just have to do the following:
• In general, your factors are 5, a, and b to get that expression.

#### What is the GCF of x2 2x?

1 Answer. The greatest common factor is 2x . So, to factor 2×2−40x , the answer would be 2x(x−20) .

What is the factors of 20 XY?

Factors of 20: 1, 2, 4, 5, 10, 20. Prime factorization: 20 = 2 x 2 x 5, which can also be written 20 = 2² x 5. When 20 is a clue in the FIND THE FACTORS puzzles, use either 4 x 5 or 2 x 10. Only one set of those factors will work for any particular puzzle.

## What is the possible factor of 8?

Table of Factors and Multiples

Factors Multiples
1, 2, 3, 6 6 12
1, 7 7 14
1, 2, 4, 8 8 16
1, 3, 9 9 18

## What are the first 5 factors of 8?

The factors are 1,2,4 and 8. (8/1 = 8, 8/2 = 4, 8/8 =1). To find the factors of a number, we will use the factorization method. In the factorization method, first take the numbers, 1 and 8 as factors of 8 and proceed with finding the other pair of multiples of 8 which gives the results as an original number.

What are 4 factors of 8?

The factors of 8 are 1, 2, 4, and 8. 1 is a universal factor because it is a factor of all numbers. Factors are quite often given as pairs of numbers which when multiplied together give the original number.

### What is the greatest common factor of 8?

Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12. Common factors of 8 and 12: 1, 2, 4. Greatest common factor of 8 and 12: 4.

### What is the GCF of 10 15 and 30?

5

What is the GCF of 27 and 36?

9

#### What is the GCF of 8/12 and 24?

The greatest common factor of these numbers is 4.

#### What is the GCF of 24 and 66?

6

What’s the GCF of 35 and 20?

4

## What is the GCF of 2 and 9?

What is the Greatest Common Factor of 2 and 9? Greatest common factor (GCF) of 2 and 9 is 1.

What is the GCF of 24 and 20?

Greatest common factor (GCF) of 24 and 20 is 4. We will now calculate the prime factors of 24 and 20, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24 and 20.

### What is the GCF of 24 30 and 12?

What is the GCF of 32 24?

8

#### What is the GCF and LCM of 24 and 30?

The LCM of 24 and 30 is 120.

#### What is the LCM of 24 and 40?

What is the Least Common Multiple of 24 and 40? Least common multiple (LCM) of 24 and 40 is 120.

What is the GCF and LCM of 24 and 36?

Answer: LCM of 24 and 36 is 72.

## What is the LCM of 25 and 30?

Remove the 5 that 25 and 30 have in common as a prime factor. Multiply 25 by the remaining prime factors of 30. 25 x 2 x 3 = 150. The lowest common multiple of 25 and 30 is 150.

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